14.76 isn't an integer, so it's NOT an allowed energy level.

Normally, the electron in a hydrogen atom is found in the orbit closest to the nucleus (n = 1). This is the lowest energy, or the ground state. When the electron gains a quantum of energy, it moves to a higher level (n = 2, 3, and so on) and the atom is in an excited state. When a electron moves from a higher to a lower numbered orbit, a unique quantity of energy is emitted- the difference between the two levels.